Statistics and Quantitative Traits Flashcards
sample statistics
known vs. unknown
population mean
population variance
population standard deviation
bell curve
all of a populations phenotypes for a trait
normal distribution
sample mean
sum of all observations / sample size (n)
variations
how individuals vary for a trait in a population
variance formula
(X1-μx)^2 + (X2-μx)^2 … / n+1
covariance
how two traits vary together
X and Y
positive, negative, or neutral direction
covariance formula
(X1-μx) (Y1-μx) + (X2-μx) (Y2-μx) … / n-1
types of correlation
phenotypic: rPx,Py
genotypic: rBVx,BVy
environmental: rEx,Ey
regression
amount of change in a variable that can be expected for a given amount of change in another variable
cause and effect
regression formula
by.x = cov(X,Y) / σ^2x
model for quantitative traits
P = μ + G + E
prediction formula
Yi = μy + by.x + (Xi-μx)